GATE EC 2017 Set 1 — Question 19
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Control Systems → Frequency-Domain Analysis → Bode Plots
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Question
Consider a stable system with transfer functionwhere and are real valued constants. The slope of the Bode log magnitude curve of converges to dB/decade as . A possible pair of values for and is
Correct answer
(A) p = 0 and q = 3
Solution
The transfer function is given as:At high frequencies (), the magnitude of the transfer function is dominated by the highest power of in the numerator and denominator:The magnitude in dB is:The slope of the Bode log magnitude curve as is given by the coefficient of :Given that the slope converges to dB/decade:Checking the options:
- (A) (Matches)
- (B)
- (C)
- (D)
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